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Finding the Fourth Proportional to 510,855.58, 705,036.09 and 281,436.38

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Solution

The fourth proportional to 510,855.58, 705,036.09 and 281,436.38 is: 388,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,855.58 : 705,036.09 = 281,436.38 : x
  2. Step 2: Convert to fraction form
    510,855.58/705,036.09 = 281,436.38/x
  3. Step 3: Cross multiply
    510,855.58x = 705,036.09 × 281,436.38
  4. Step 4: Simplify right side
    510,855.58x = 198,422,804,938.95
  5. Step 5: Solve for x
    x = 198,422,804,938.95/510,855.58
  6. Step 6: Final answer
    x = 388,412.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.